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Researcher · Steklov Mathematical Institute · Russia

Vladimir I. Arnold

Vladimir I. Arnold publishes mostly in Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics, on topics such as Homotopy and Cohomology in Algebraic Topology, Elasticity and Wave Propagation and Mathematical Dynamics and Fractals.

OpenAlex
World rank
#3,467
of 1,633,909 ranked researchers
Rank in Russia
#12
of 28,789
Works
136
Citations
1.5k
Citations per work
11.0

What does Vladimir I. Arnold research?

Geometry and Topology: 14.3%Mathematical Physics: 13.1%Statistical and Nonlinear Physics: 9.5%Applied Mathematics: 8.3%other fields: 54.8%14%top field
Geometry and Topology14.3%Mathematical Physics13.1%Statistical and Nonlinear Physics9.5%Applied Mathematics8.3%other fields54.8%

Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.

  1. 1Geometry and Topology14% of their works
  2. 2Mathematical Physics13% of their works
  3. 3Statistical and Nonlinear Physics10% of their works
  4. 4Applied Mathematics8% of their works
  5. 5Mechanics of Materials5% of their works
  6. 6Computational Theory and Mathematics5% of their works

Research topics

Which keywords describe Vladimir I. Arnold's research?

The keywords of their largest research topics: Dynamical Systems, Deformation Quantization, Poisson Manifolds, Chaos, Fractals, Lagrangian Coherent Structures, Mechanics and Nanomaterials.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 17 words, with their numbers
  1. Dynamical Systems142 topics
  2. Deformation Quantization81 topic
  3. Poisson Manifolds81 topic
  4. Chaos71 topic
  5. Fractals71 topic
  6. Lagrangian Coherent Structures71 topic
  7. Mechanics71 topic
  8. Nanomaterials71 topic
  9. Quantum Chaos71 topic
  10. Bifurcations61 topic
  11. Planar Systems61 topic
  12. Geometry51 topic
  13. Hyperbolic51 topic
  14. Knot Invariants51 topic
  15. Optimal Transport51 topic
  16. Ricci Curvature51 topic
  17. Symplectic Topology51 topic

Where does Vladimir I. Arnold work?

Vladimir I. Arnold's main affiliation in the publication record is Steklov Mathematical Institute, Russia.

How many publications and citations does Vladimir I. Arnold have?

Science Explorer counts 136 works and 1,492 citations for Vladimir I. Arnold, ranking #3,467 of 1,633,909 researchers worldwide on the composite score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.